464248080 has 60 divisors (see below), whose sum is σ = 1559102220. Its totient is φ = 123799296.

The previous prime is 464248079. The next prime is 464248097. The reversal of 464248080 is 80842464.

464248080 is a `hidden beast` number, since 4 + 642 + 4 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225360144 + 238887936 = 15012^2 + 15456^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321675 + ... + 323114.

It is an arithmetic number, because the mean of its divisors is an integer number (25985037).

Almost surely, 2^464248080 is an apocalyptic number.

464248080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464248080 is an abundant number, since it is smaller than the sum of its proper divisors (1094854140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464248080 is a wasteful number, since it uses less digits than its factorization.

464248080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644808 (or 644799 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 464248080 is about 21546.4168714893. The cubic root of 464248080 is about 774.3132758248.

The spelling of 464248080 in words is "four hundred sixty-four million, two hundred forty-eight thousand, eighty".